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On the Max Min Value of Stochastic Games with Imperfect Monitoring

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  • Eilon Solan
  • Dinah Rosenberg
  • Nicolas Vieille

Abstract

Nous étudions les jeux stochastiques à somme nulle où les joueurs n'observent pas nécessairement les actions choisies par leur adversaire. Nous supposons seulement que chacun des joueurs observe au moins l'état courant du jeu, ainsi que sa propre action. L'article propose un traitement unifié de plusieurs résultats dus à Coulomb.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1337.

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Date of creation: Dec 2001
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Handle: RePEc:nwu:cmsems:1337

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  1. Vrieze, O J & Thuijsman, F, 1989. "On Equilibria in Repeated Games with Absorbing States," International Journal of Game Theory, Springer, vol. 18(3), pages 293-310.
  2. Lehrer, E, 1989. "Lower Equilibrium Payoffs in Two-Player Repeated Games with Non-observable Actions," International Journal of Game Theory, Springer, vol. 18(1), pages 57-89.
  3. MERTENS, Jean-François, . "Stochastic games," CORE Discussion Papers RP -1587, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Coulomb, Jean-Michel, 1992. "Repeated Games with Absorbing States and No Signals," International Journal of Game Theory, Springer, vol. 21(2), pages 161-74.
  5. Radner, Roy, 1981. "Monitoring Cooperative Agreements in a Repeated Principal-Agent Relationship," Econometrica, Econometric Society, vol. 49(5), pages 1127-48, September.
  6. Lehrer, E, 1990. "Nash Equilibria of n-Player Repeated Games with Semi-standard Information," International Journal of Game Theory, Springer, vol. 19(2), pages 191-217.
  7. Lehrer, Ehud, 1992. "On the Equilibrium Payoffs Set of Two Player Repeated Games with Imperfect Monitoring," International Journal of Game Theory, Springer, vol. 20(3), pages 211-26.
  8. Eilon Solan & Rakesh V. Vohra, 1999. "Correlated Equilibrium, Public Signaling and Absorbing Games," Discussion Papers 1272, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Aumann, Robert J. & Heifetz, Aviad, 2002. "Incomplete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 43, pages 1665-1686 Elsevier.
  10. Rubinstein, Ariel & Yaari, Menahem E., 1983. "Repeated insurance contracts and moral hazard," Journal of Economic Theory, Elsevier, vol. 30(1), pages 74-97, June.
  11. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
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Cited by:
  1. Solan, Eilon & Vieille, Nicolas, 2003. "Deterministic multi-player Dynkin games," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 911-929, November.
  2. Abraham Neyman, 2002. "Stochastic games: Existence of the MinMax," Discussion Paper Series dp295, The Center for the Study of Rationality, Hebrew University, Jerusalem.

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